Aprofessional organizer charges a $45 consultation fee, plus $20 per hour. part a) write an equation to represent the total cost for hiring the organizer. define your variables. part b) determine the cost, if you need to consult with the organizer for 3 hours. part c) if your boss gave you a budget of $200, what is the greatest number of hours that you could hire the consultant?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)